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11 Dec 2017, 22:43
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A
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Difficulty:
35%
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Question Stats:
64% (01:08) correct
36%
(01:03)
wrong
based on 548
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Of the following, which is least?
A. \(\frac{-0.7}{0.000012}\)
B. \(\frac{0.7}{-0.00012}\)
C. \(-\frac{0.7}{0.0012}\)
D. \((\frac{0.012}{-0.7})^{(-1)}\)
E. \(-\frac{0.7}{0.12}\)
M37-80
A. \(\frac{-0.7}{0.000012}\)
B. \(\frac{0.7}{-0.00012}\)
C. \(-\frac{0.7}{0.0012}\)
D. \((\frac{0.012}{-0.7})^{(-1)}\)
E. \(-\frac{0.7}{0.12}\)
M37-80
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11 Dec 2017, 23:23
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Bunuel
A NEGATIVE sign will mean the SAME irrespective of it at numerator or denominator..
D has -1 as power, so we will have reciprocal of the fraction \(\frac{-0.7}{0.012}\)
So ALL choices are negative and with same numerator 0.7..
So let's concentrate on denominator only..
LOWER the denominator, HIGHER the value of fraction if positive and LOWER the value of fraction if NEGATIVE.
0.000012 is the lowest value making \(\frac{-0.7}{0.000012}\) the least
A
02 Dec 2021, 04:48
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Official Solution:
Of the following, which is least?
A. \(\frac{-0.7}{0.000012}\)
B. \(\frac{0.7}{-0.00012}\)
C. \(-\frac{0.7}{0.0012}\)
D. \(\frac{0.012}{-0.7}^{-1}\)
E. \(-\frac{0.7}{0.12}\)
Firs of all notice that all the numbers are negative and we can re-write all of them so that the numerator is the same: \(0.7\):
A. \(\frac{-0.7}{0.000012}=\frac{0.7}{-0.000012}\)
B. \(\frac{0.7}{-0.00012}\)
C. \(-\frac{0.7}{0.0012}=\frac{0.7}{-0.0012}\)
D. \(\frac{0.012}{-0.7}^{-1}=\frac{-0.7}{0.012}=\frac{0.7}{-0.012}\)
E. \(-\frac{0.7}{0.12}=\frac{0.7}{-0.12}\)
Each option is of the form \(\frac{0.7}{negative}\). For such fractions, larger the denominator (so closer the negative number in the denominator is to zero), the smaller the fraction (for example, \(-1 > -10\), thus \( (\frac{10}{-1} = -10) < (\frac{10}{-10} = -1) \)).
The largest denominator is in option A (\(-0.000012\)), so it has the least value.
Answer: A
Of the following, which is least?
A. \(\frac{-0.7}{0.000012}\)
B. \(\frac{0.7}{-0.00012}\)
C. \(-\frac{0.7}{0.0012}\)
D. \(\frac{0.012}{-0.7}^{-1}\)
E. \(-\frac{0.7}{0.12}\)
Firs of all notice that all the numbers are negative and we can re-write all of them so that the numerator is the same: \(0.7\):
A. \(\frac{-0.7}{0.000012}=\frac{0.7}{-0.000012}\)
B. \(\frac{0.7}{-0.00012}\)
C. \(-\frac{0.7}{0.0012}=\frac{0.7}{-0.0012}\)
D. \(\frac{0.012}{-0.7}^{-1}=\frac{-0.7}{0.012}=\frac{0.7}{-0.012}\)
E. \(-\frac{0.7}{0.12}=\frac{0.7}{-0.12}\)
Each option is of the form \(\frac{0.7}{negative}\). For such fractions, larger the denominator (so closer the negative number in the denominator is to zero), the smaller the fraction (for example, \(-1 > -10\), thus \( (\frac{10}{-1} = -10) < (\frac{10}{-10} = -1) \)).
The largest denominator is in option A (\(-0.000012\)), so it has the least value.
Answer: A
